SOLUTION: The denominator of a fraction is 12 more than its numerator. If the numerator is increased by 6 and the denominator is decreased by 5, the result is 7/8. Find the original fraction
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Question 1108783: The denominator of a fraction is 12 more than its numerator. If the numerator is increased by 6 and the denominator is decreased by 5, the result is 7/8. Find the original fraction
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The denominator of a fraction is 12 more than its numerator.
If the numerator is increased by 6 and the denominator is decreased by 5, the result is 7/8.
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Cross multiply
8(n+6) = 7(n+7)
8n + 48 = 7n + 49
8n - 7n = 49 - 48
n = 1 is the numerator
then
1 + 12 = 13 is the denominator
then
is the original fraction
:
:
Check the solution in the statement
"If the numerator is increased by 6 and the denominator is decreased by 5, the result is 7/8."
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